4.37/1.99 MAYBE 4.37/1.99 4.37/1.99 Proof: 4.37/2.00 ConCon could not decide confluence of the system. 4.37/2.00 \cite{ALS94}, Theorem 4.1 does not apply. 4.37/2.00 This system is of type 3 or smaller. 4.37/2.00 This system is strongly deterministic. 4.37/2.00 This system is of type 3 or smaller. 4.37/2.00 This system is deterministic. 4.37/2.00 This system is non-terminating. 4.37/2.00 Call external tool: 4.37/2.00 ./ttt2.sh 4.37/2.00 Input: 4.37/2.00 (VAR y' x'' x y'' y x') 4.37/2.00 (RULES 4.37/2.00 f(x', x'') -> ?1(x', x', x'') 4.37/2.00 ?1(x, x', x'') -> ?2(x'', x', x'', x) 4.37/2.00 ?2(x, x', x'', x) -> h(x, f(x, b)) 4.37/2.00 f(g(y'), y'') -> ?3(y', y', y'') 4.37/2.00 ?3(y, y', y'') -> ?4(y'', y', y'', y) 4.37/2.00 ?4(y, y', y'', y) -> h(y, f(g(y), a)) 4.37/2.00 a -> b 4.37/2.00 ) 4.37/2.00 4.37/2.00 Unfolding Processor: 4.37/2.00 loop length: 3 4.37/2.00 terms: 4.37/2.00 f(b(),b()) 4.37/2.00 ?1(b(),b(),b()) 4.37/2.00 ?2(b(),b(),b(),b()) 4.37/2.00 context: h(b(),[]) 4.37/2.00 substitution: 4.37/2.00 4.37/2.00 Qed 4.37/2.00 ConCon could not decide if this system is quasi-decreasing. 4.37/2.00 \cite{O02}, p. 214, Proposition 7.2.50 does not apply. 4.37/2.00 This system is of type 3 or smaller. 4.37/2.00 This system is deterministic. 4.37/2.00 This system is non-terminating. 4.37/2.00 Call external tool: 4.37/2.00 ./ttt2.sh 4.37/2.00 Input: 4.37/2.00 (VAR y' x'' x y'' y x') 4.37/2.00 (RULES 4.37/2.00 f(x', x'') -> ?1(x', x', x'') 4.37/2.00 ?1(x, x', x'') -> ?2(x'', x', x'', x) 4.37/2.00 ?2(x, x', x'', x) -> h(x, f(x, b)) 4.37/2.00 f(g(y'), y'') -> ?3(y', y', y'') 4.37/2.00 ?3(y, y', y'') -> ?4(y'', y', y'', y) 4.37/2.00 ?4(y, y', y'', y) -> h(y, f(g(y), a)) 4.37/2.00 a -> b 4.37/2.00 ) 4.37/2.00 4.37/2.00 Unfolding Processor: 4.37/2.00 loop length: 3 4.37/2.00 terms: 4.37/2.00 f(b(),b()) 4.37/2.00 ?1(b(),b(),b()) 4.37/2.00 ?2(b(),b(),b(),b()) 4.37/2.00 context: h(b(),[]) 4.37/2.00 substitution: 4.37/2.00 4.37/2.00 Qed 4.37/2.00 4.37/2.03 EOF